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3 years ago

Is 8/10 an irrational number

Mathematics

1 answer:

bearhunter [10]3 years ago

7 0

8/10<span> is usually written 4/5, so yes it is irrational. </span>

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A line passes through the point (0, 1) and has a positive slope. Which of these points could that line NOT pass through? Check a

Vinvika [58]

We have to find slopes one by one.

$\\ \sf\longmapsto Slope=m=\dfrac{y_2-y_1}{x_2-x_1}$

(0,1)
(12,3)

$\\ \sf\longmapsto \dfrac{3-1}{12-0}$

$\\ \sf\longmapsto \dfrac{2}{12}$

$\\ \sf\longmapsto \dfrac{1}{6}>0$

Line passes through this.

(-2,-5)

$\\ \sf\longmapsto \dfrac{-5-1}{-2-0}$

$\\ \sf\longmapsto \dfrac{-6}{-2}$

$\\ \sf\longmapsto 3>0$

Line passes through this

(-3,1)

$\\ \sf\longmapsto \dfrac{1-1}{-3-0}$

$\\ \sf\longmapsto \dfrac{0}{-3}=0$

Not possible (Line passes through y axis as one co-ordinate is (0,1))

( 1,15)

$\\ \sf\longmapsto \dfrac{15-1}{1-0}$

$\\ \sf\longmapsto \dfrac{14}{1}$

$\\ \sf\longmapsto 14>0$

Line passes through this

(5,-2)

$\\ \sf\longmapsto \dfrac{-2-1}{5-0}$

$\\ \sf\longmapsto \dfrac{-3}{5}$

Line doesnot pass through this.

6 0

3 years ago

Read 2 more answers

In Exercise, use the properties of exponents to simplify the expression.<br> (e1/2)(e4)

iogann1982 [59]

Answer:

$e^{9/2}$

Step-by-step explanation:

Let's consider the following expression.

$(e^{1/2})(e^{4} )$

We will use the Product of Powers Property. This property states that to multiply powers having the same base, we have to add the exponents.

$(e^{1/2})(e^{4} )=e^{1/2+4} =e^{1/2+8/2}=e^{9/2}$

The simplified expression is $e^{9/2}$ .

7 0

3 years ago

Erin earned 68 points on her last test. If there were 80 possible points, what was

Dmitrij [34]

Answer:

85 percent

Step-by-step explanation:

68 out of 80 = 68/80

= 0.85, times 100

= 85 percent

7 0

3 years ago

What is the sum of -3x + 9x

Rufina [12.5K]

Answer: I believe the answer is 6x.

8 0

3 years ago

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A cone with height h and radius r has volume V = 13πr^2h. If the cone has a height of 6 in. and volume V = 8πx^2 + 24πx + 18π, w

torisob [31]

ANSWER

$r = x - \frac{3}{2}$

EXPLANATION

The volume of the cone is

$V=8\pi \: {x}^{2} + 24\pi \: x + 18\pi$

The height of the is 6 inches.

We put the values into the volume of cone to get.

$8\pi \: {x}^{2} + 24\pi \: x + 18\pi = \frac{1}{3} \times \pi \: {r}^{2} \times 6$

$8\pi \: {x}^{2} + 24\pi \: x + 18\pi = 2 \pi \: {r}^{2}$

Divide through by 2π.

$4 {x}^{2} + 12x + 9 = {r}^{2}$

The expression on the LHS is a perfect square trinomial.

$( {x - \frac{3}{2} })^{2} = {r}^{2}$

$r = x - \frac{3}{2}$

5 0

4 years ago

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